In the following arrangements, block is slightly displaced vertically down from its equilibrium position and released. Find time period of vertical oscillations. Assume the pulley to be light.

Options

A. `2pisqrt((L)/(g))`
B. `2pisqrt((L)/(g))[pi + 2 sin^(-1)(alpha/beta)]`
C. `2pisqrt((L)/(g))[pi/2 + sin^(-1)(alpha/beta)]`
D. None of the above

Answer

A

Explanation

As `beta lt alpha` so `T = 2pisqrt((L)/(g))`